K-12 students are expected to acquire competence in data display as part of developing statistical literacy. To support research, assessment design, and instruction, we developed a hypothesized learning progression (LP) using existing empirical literature in the fields of mathematics and statistics education. The data display LP posits a…

The concept of variability is central to statistics. In this research report, we review mathematics education research on variability and, based on that review and on feedback from an expert panel, propose a learning progression (LP) for variability. The structure of the proposed LP consists of 5 levels of sophistication in understanding…

The present study focuses on the accumulation process involved in the integration of a single-variable function. Observing the work of two high-school calculus students who had not yet learned any other integral-related ideas, we analyze the emergence of the semiotic relationship between personal and mathematical meanings, as expressed through the…

The results of a rigorously controlled sampling of mathematics computational skills, as possessed by grades 1 - 12 students attending private and public schools, in a rural semi-urban, contiguous area in Connecticut, are contained in this report. Status study data is presented in a graphic form. The data reported is derived from an item analysis…

This thesis investigated the effects of certain personal and situational variables on the acquisition sequence of graphical interpretational skills. A comprehensive learning hierarchy of basic graphical interpretational skills was prepared according to the method of task analysis proposed by Gagne, and was subjected to a series of empirical…